Notice of a town meeting is spread by word of mouth to the town's 4000 residents. After t days, the number of people who know about the meeting is expressed by the function f(t) = 4000/(1 + 40 e^(-0.4 t))

How long will it take for half of the townspeople to have heard about the meeting?

Question

Notice of a town meeting is spread by word of mouth to the town's 4000 residents. After t days, the number of people who know about the meeting is expressed by the function f(t) = 4000/(1 + 40 e^(-0.4 t))

How long will it take for half of the townspeople to have heard about the meeting?

anonymous · Answer

right now im at: f(t) = 4000/(1 + 40 e^(-0.4 t)).

anonymous · Answer

do i plug in something for t then solve?

anonymous · Answer

2, 000 = 4000/(1 + 40 e^(-0.4 t))

anonymous · Answer

yeah since it says half of pop but what then?

anonymous · Answer

Calculate!

anonymous · Answer

f(t) = 2000/(1 + 40 e^(-0.4 t)).

anonymous · Answer

1 = 2/[ 1 + 40 e^(-0.4 t) ]

anonymous · Answer

arent i supposed to plug in a number for t?

anonymous · Answer

Did you see I plug 2,000 for f(t) which number of half of town?

anonymous · Answer

Then find t?

anonymous · Answer

yeah but  i dont  plug that in 2000 for t though right?

anonymous · Answer

Of cousrse not, because 2,000 is number of person f (t), not time t!

anonymous · Answer

Let me know your result!

anonymous · Answer

im lost

anonymous · Answer

Firstly, do you know how to plug in ? Pls show me!